5.1 | Antiderivatives and Indefinite Integration


Definition of Antiderivative
A function \(F\) is an antiderivative of \(f\) on an interval \(I\) when \(F'(x) = f(x)\) for all \(x\) in \(I\).
Representation of Antiderivatives
If \(F\) is an antiderivative of \(f\) on an interval \(I\), then \(G\) is an antiderivative of \(f\) on the interval \(I\) if and only if \(G\) is of the form \(G(x) = F(x) +C\), for all \(x\) in \(I\) where \(C\) is a constant.

E 5.1 Exercises